Concept explainers
a)
To find
a)
Answer to Problem 85E
Explanation of Solution
Given:
Days | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Probability | 0.04 | 0.03 | 0.06 | 0.08 | 0.09 | 0.08 | 0.05 | ? |
Calculation:
We know for every probability distribution, the sum of the probabilities equal to 1.
Using this condition,
b)
To interpret mean and standard deviation.
b)
Answer to Problem 85E
On average the number of days that a young person watched television is 5.44 days.
The number of days that a young person watched television varies on average by 2.14 days from the mean of 5.44 days.
Explanation of Solution
Given:
Days | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Probability | 0.04 | 0.03 | 0.06 | 0.08 | 0.09 | 0.08 | 0.05 | 0.57 |
Calculation:
First, need to understand mean and standard deviation.
Mean represents the expected value of the random variable and standard deviation represents the average deviation from the mean.
Therefore, on average the number of days that a young person watched television is 5.44 days.
The number of days that a young person watched television varies on average by 2.14 days from the mean of 5.44 days.
c)
To explain whether the mean of the 100 sample is 4.96.
c)
Answer to Problem 85E
Not surprising.
Explanation of Solution
Given:
Days | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Probability | 0.04 | 0.03 | 0.06 | 0.08 | 0.09 | 0.08 | 0.05 | 0.57 |
Calculation:
The sample size n=100 and their sample mean =
We need check whether it contains in one standard deviation.
Therefore,
Since
Chapter 8 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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